Effect of axial diffusion of vorticity on flow development in circular conduits: Part I. Numerical solutions

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<jats:title>Abstract</jats:title><jats:p>An entrance model is presented which extends the analysis of the flow development in the entrance region to flow regimes which are inadequately described by a boundary‐layer analysis. Results are presented for the numerical solutions of the boundary‐layer equations and the complete equations of motion at five different Reynolds numbers. The effect of the axial diffusion of vorticity on the pressure drop, entrance length, and development of the vorticity and velocity fields is demonstrated.</jats:p>

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